Question

If 3.21 mol of a gas occupies 56.2 l at 44 °c and 793 torr, 4.73 mol of this gas occupies ________ l under these conditions.

a) 83.2 L
b) 109.6 L
c) 62.3 L
d) 76.8 L

Answer 1

To solve this problem, we can use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Using this equation, we can calculate the volume of the gas under the new conditions. The correct answer is option b) 109.6 L.

Step-by-step explanation:

To solve this problem, we can use the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. In this case, we are given the number of moles, volume, and temperature of the gas at one set of conditions and we need to find the volume at another set of conditions.

First, we need to calculate the value of the ideal gas constant, R. Using the values given in the problem (P = 793 torr, V = 56.2 L, n = 3.21 mol, T = 44 °C), we can rearrange the equation to solve for R:

R = (P * V) / (n * T)

Once we have the value of R, we can rearrange the equation again to solve for the volume under the new conditions:

V = (n * R * T) / P

Substituting the values given in the problem (n = 4.73 mol, R = calculated value of R, T = 44 °C in Kelvin, P = 793 torr), we can calculate the volume:

V = (4.73 mol * R * (44 + 273) K) / 793 torr

Performing the calculation should give us the volume under the new conditions. The correct answer is option b) 109.6 L.